MATH 141 Midterm: MATH141 South Carolina 141 95 4 nospace
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Problems 1 and 2 are each worth 6 points. Each of the other problems is worth 8 points. You might nd the following formulas to be useful: n. Xi=1 i2 = n(n + 1)(2n + 1) No calculators: state both parts of the fundamental theorem of calculus, de ne the de nite integral, let y = qx cos3(4x2 + 3) + sin4(x) . Find dy dx : find z 2 x2 + sin(2x)dx , find z sin x cos x p2 sin2 x + 1 dx , let f (x) = x2. What are the local extreme points and points of in ection of y = f (x) . Graph y = f (x) : the surface area of a cube is growing at the constant rate of 1000 square inches per second. Simplify the expression allowed to have a summation sign or . n. Your answer is not: find the exact amount of area inside the following 50 boxes.
